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28208352 = 253614817
BaseRepresentation
bin110101110011…
…0110011100000
31222002010120210
41223212303200
524210131402
62444334120
7461524044
oct153466340
958063523
1028208352
1114a17397
129544340
135ac8643
143a64024
15272306c
hex1ae6ce0

28208352 has 48 divisors (see below), whose sum is σ = 75276432. Its totient is φ = 9246720.

The previous prime is 28208339. The next prime is 28208359. The reversal of 28208352 is 25380282.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×282083522 = 1591422245111808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28208359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3448 + ... + 8264.

It is an arithmetic number, because the mean of its divisors is an integer number (1568259).

Almost surely, 228208352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28208352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37638216).

28208352 is an abundant number, since it is smaller than the sum of its proper divisors (47068080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28208352 is a wasteful number, since it uses less digits than its factorization.

28208352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28208352 is about 5311.1535470178. The cubic root of 28208352 is about 304.4102264196.

The spelling of 28208352 in words is "twenty-eight million, two hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 4817 5856 9634 14451 19268 28902 38536 57804 77072 115608 154144 231216 293837 462432 587674 881511 1175348 1763022 2350696 3526044 4701392 7052088 9402784 14104176 28208352